% Mizar problem: t20_finset_1,finset_1,777,29 
fof(t20_finset_1,conjecture,(
    ! [A,B,C] : 
      ( ( v1_finset_1(A)
        & v1_finset_1(B)
        & v1_finset_1(C) )
     => v1_finset_1(k3_zfmisc_1(A,B,C)) ) ),
    inference(mizar_bg_added,[status(thm)],[d3_zfmisc_1,dt_k2_zfmisc_1,dt_k3_zfmisc_1,fc14_finset_1,t19_finset_1]),
    [file(finset_1,t20_finset_1)]).

fof(d3_zfmisc_1,axiom,(
    ! [A,B,C] : k3_zfmisc_1(A,B,C) = k2_zfmisc_1(k2_zfmisc_1(A,B),C) ),
    file(zfmisc_1,d3_zfmisc_1),
    []).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    []).

fof(dt_k3_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k3_zfmisc_1),
    []).

fof(fc14_finset_1,axiom,(
    ! [A,B] : 
      ( ( v1_finset_1(A)
        & v1_finset_1(B) )
     => v1_finset_1(k2_zfmisc_1(A,B)) ) ),
    file(finset_1,fc14_finset_1),
    []).

fof(t19_finset_1,axiom,(
    ! [A,B] : 
      ( ( v1_finset_1(A)
        & v1_finset_1(B) )
     => v1_finset_1(k2_zfmisc_1(A,B)) ) ),
    file(finset_1,t19_finset_1),
    []).